Question

1) 2(x - 5) + 7 = x + 8
what is x

2) 5(x - 1) - 6x = -11x
what is x

Answer 1

1) x = 11

2) x = ½

Explanation:

1) 2(x - 5) + 7 = x + 8

2x - 10 + 7 = x + 8

2x - 3 = x + 8

x = 11

2) 5(x - 1) - 6x = -11x

5x - 5 - 6x = -11x

-5 - x = -11x

10x = 5

x = ½

Answer 2

x = 11

1/2 =x

Explanation:

1) 2(x - 5) + 7 = x + 8

Distribute

2x-10+7 = x+8

Combine like terms

2x -3 = x+8

Subtract x from each side

2x-x-3 = x+8-8

x -3 = 8

Add 3 to each side

x-3+3 = 8+3

x = 11

2) 5(x - 1) - 6x = -11x

Distribute

5x-5-6x = -11x

Combine like terms

-x-5 = -11

Add x to each side

-x+x -5 = -11x +x

-5 = -10x

Divide each side by -10

-5/-10 = -10x/-10

1/2 =x